This guide is basically me taking notes for now so I can compile it into information for you guys, testing out the styles of other Riven guides and I'm not trying to any of this as my work, please look at these two guides as they're really helpful and I'm trying out a lot of the things they use

Design:
https://www.mobafire.com/league-of-legends/build/limitlesshavocs-top-lane-riven-371946
Information:
https://www.mobafire.com/league-of-legends/build/the-best-riven-world-guide-404727
Also please check out this guide, it helped me a lot, not just giving me an idea (I'm testing things out, yes they're copy and pasted- but I will edit them more) but for helping me learn how to play Shyvana to!
https://www.mobafire.com/league-of-legends/build/season-8-shyvana-jungle-total-guide-the-most-in-depth-427599

hh hhhh/SKILL PRIORITY h > > > hhhhhhGo to abilities hhhhhhHH/BUILD START: dd RUSH: dd NEXT 3: dd SITUATIONAL: dd hhhhhGo to itemization hhhhhhHH/RUNES VIABLE: Go to runes d SUMMONERS ddddddddddddd ddd +hhhhor ddddddddddddd Go to Summoner Spells d MATCHUPS COUNTERS: EVEN: FAVOURABLE: SYNERGY: Go to Matchups

If it's your first time playing Riven, take Flash + Ignite as your summoner's spells. Take the runes I recommend, or any Conqueror rune page you have set up. Start Long Sword for most matchups, if you're first timing Riven or if you're in a poke matchup you can start Doran's Shield and Doran's Blade is best when fighting tanks. Either learn Valor if you're up against a ranged, poke heavy matchup or Broken Wings if you're up against a melee or tanky matchup. Level your abilities Broken Wings first, then Valor then Ki Burst but remember, after upgrading all your spells once and upgrading Broken Wings as much as possible get a second point in Ki Burst before you spam Valor. Obviously Blade of the Exile at 6, 11, 16. Use Broken Wings for an auto-attack reset. Follow this build path: Stalker's Blade - Death's Dance -> Ninja Tabi -> Black Cleaver -> Sterak's Gage, however you must build in variation depending on the enemy team, for example buy Black Cleaver first and Death's Dance third if you're against a tank in lane, change your Ninja Tabi if you're against slows like Wither take Boots of Swiftness, if you're against a lot of Ability Power and Crowd Control take Mercury's Treads you should also swap out Sterak's Gage for Maw of Malmortius if you're facing a lot of Ability Power champions, or if they have an Ability Power assassin like Ekko on their team. And enjoy! Your final two items depend on the game: Titanic Hydra -> Guardian Angel in an average game, or something more offensive like Ravenous Hydra if you're snowballing quite hard. Always remember, when you have your full build sell your boots for Dead Man's Plate and your Guardian Angel for Mercurial Scimitar! You need to earn gold quickly in the first 10 minutes of the game. Riven can easily become 2 kills ahead of the enemy laner when set so far behind if you play her right, she scales hard with Attack Damage and is hard to beat when she's ahead. You do this by focusing on farming early, using the farm triangle, and you farm all game, and also trade when your enemies spells are on Cool Down (for example when Nasus tries to stack with Siphoning Strike). First 5 minutes: Start Valor and play passive in ranged matchups/matchups that can easily out trade you with one spell ( Garen) or Broken Wings and try to trade from brush/when they waste spells don't let your wave push Do not waste early time roaming or trying to help lanes, because you can't do much without losing your pressure top lane - it's better to get to level 6 faster because of your gold reliance, you can't let the enemy laner get ahead . (Gank other lanes when you're ahead and pushed up, or if you're in a matchup where the enemy is a tank with low pushing power) If against a weak early jungler, you can do an invade at any level after clearing your waves, best at levels 4-5-6 when you are probably already 1-2 levels ahead of him You can roam mid and complete Rift herald, you can take it easily from level 4 on 5-7 minutes: Gank when you have level 6, you are very strong with Blade of the Exile increasing your AoE spells so it's hard for enemy laners to not burn flash in attempt to not get stunned, mid lane is best for this if you don't have Teleport as if you stun them they're pretty much dead, counter-jungle, use the farm triangle, roam and splitpush when you establish a lead in your farming or if you're rotating lanes. Rush an early Caulfield's Warhammer or Phage, for either Cooldown Reduction or speed to out run spells like Decisive Strike and Judgment. By 10 minutes you should have the Death's Dance or Black Cleaver completed, this gives a power spike Gank every time your ultimate is up - you should be always looking for trades and after 1-2 you can always all in if you have your ultimate and they have Cool downs/mispositioned, ex. 11-13 minutes: Buy Tier 2 boots, speed is important on Riven as her weakness lies in Crowd Control, you need to be mobile with your mobility spells to clip kills with Broken Wings. Farm hard in both sides of the jungle, and lanes when the laner is backed or roaming, kill the enemy jungler by warding their brush and position yourself to make a guess where they will next appear from the Fog of War, take opportunities when you see them (e.g. Rift Herald), cover the whole map 14-16 minutes: Help your team take the first turret for the gold bonus if not already taken. 17-20 minutes: Help your lanes more, take objectives: Outer Turrets, second Dragon, Rift Herald. Look for skirmishes, you can take down any opponent if you play it right, once you have taken your lanes tower or mid tower at 14-16 minutes try to get the next first tower on another lane. 21-25 minutes: Pressure everywhere: split push, flank team fights, flank, if you're comfortable try a Flash combo to get an AoE stun on the entire enemy team, win. Early game, your main task (apart from getting gold!) is to protect lanes from falling behind, so they wont slow down your snowball. So you steal camps, contest Rift Scuttlers, invade, counter gank, ward as best as you can and constantly check the map to ping for your laners, and generally make the enemy junglers life difficult. Late game, your role depends on how the game is going, you can split push, or anchor your team as a powerful bruiser (not a tank), or a bit of both. Riven is tankier than usual with this build, but she's not a tank. She does not have the shield and Crowd Control that true tank champions have, but she's pretty squishy. She is a high damage champion, with good base damage and scales very well with the suggested builds. You can build her with full tank items if there's nobody else to be your team's front line. But she's more powerful with a higher damage build. Generally it is hard for opponents to kill a champion who is two levels ahead of themselves, and even harder if that's a skilled Riven. If you can avoid any early deaths - you should be able to, as there's little reason why a Riven should take death enduing trades in the early game - and buy an early Cooldown Reduction item ( Death's Dance or Black Cleaver) then Riven can build up a mystique in the eyes of opponents as "unkillable". Titanic Hydra is best for low elo games or those typical solo queue games where you are not sure about your teammates and might need to 1 v 9: it is one of Riven's most useful items if the active is used correctly in her combos (takes practice!) But for high elo games or premade 5 v 5 where you have competent teammates then Ravenous Hydra is best, because it makes Riven more useful in her purpose (to burst down the enemies as quickly as she can) to the team overall: your nearby allies should be able to take good advantage of the AoE passive. Some builds take neither!

From patch to patch and season to season, Riven has varied between being a god-tier top laner and being fairly weak. Actually I think she stays fairly constant in power, what is changing is the strength and meta of the top laners around her.

Faker revolutionised Riven, he used animation cancelling to dish out an amazing amount of damage and stomp the Mid Lane compared to other Riven players. He utilized her passive and made her meta, showing everyone how to use her as a bursty champion and how to player her properly.
She has recently hit her seventh year anniversary, however, recently she has fallen off in power, almost all meta top laners destroy her, and she has very few good matchups.
Riven was released live on servers on September 14th, 2011, she was the last champion to be released for Season 1. She was meant to be a super flashy, high risk, high reward champion, that was unlike any other champion previously released. Riot wanted to make a female champion that was strong and different, as they were criticized for overly sexualizing most female champions, (uh... the fans became too much so they made Battle Bunny Riven anyway, but yeah.)

Riven was created to be a Demacian, who was "gooder than good" but the people developing her thought this left her character with less depth. So they made her an Exile from Noxus, who, after seeing the true- gruesome way that they fought, broke her sword, and left. They wanted her play style to be a lot like "Marth" a character from Super Smash Bro's Melee. Riven was code named Marth, they shared the same core mechanics in their slash and dash playstyle. Both have a circular block shield in their kit, as well as Broken Wings- a slashing sword spell, and a lot of dashes, in the form of Broken Wings and Valor.
Riven was played out similar to the "Valkyrie" class from MMOs. She uses a Runic Blade her passive Runic Blade and her ultimate Blade of the Exile are both powered by the seven runes in her sword. Gauntlet Seven Sorrows has a Valkyrie class, the Valkyrie in that game has short hair, a green sword, and is very mobile with Area of Effect damage.

Riven was played as a lane bully with excellent harass, and high risk. She could dish out damage with her old passive "(The) Art of War" and Broken Wings. However, she was extremely underpowered and so she was given multiple buffs in just a week. She was not worth playing compared to other champions at the time like Xin Zhao and Jarvan IV. Her playstyle was high risk, but she was given such a low reward, but she was fun to play, so she saw more casual play and hardly any competitive play because she was not meta, in this time frame there was a sustain meta, and Riven had no natural sustain, giving her a lot of early game problems.
Riven was buffed and then had the highest base health regeneration of any champion, meaning she was an excellent Jungler, there was no Red Smite or Enchantment: Warrior and so junglers had to start with Doran's Blade. Stacking these on Riven synergised extremely well with her high health regeneration and so her early game was given a great boost.

Season 3 introduced a bug where Riven's Broken Wings could bypass terrain, Riot liked the idea of a wallhop mechanic as it gave Riven more diversity to her kit. Riven at the time was very easy to play because of her new buffs, and this gave her a new mechanic which required some skill to learn. Riot implemented wall hopping into the game on Riven's third Broken Wings. BoxBox became known as "The Riven one trick" and he quickly mastered her kit making insane outplays on Youtube and Twitch.TV, this became widely popular as the big thing at the time was League of Legends content.
The best Riven North America tournament was hosted by Leaguepedia, where high ELO Riven players would compete head to head to showcase and prove their skills with Riven. Everyone knew players like Dyrus, Imaqtpie, Best Riven NA and BoxBox all competed for the title of Best Riven North America. MegaZero was able to take the title in five games. Riven was used as a counterpick to a few bruisers, but this tournament helped showcase what good Riven players could do with her kit, but her animation cancels were still simple.

A player named BarcodeKiller was domination Solo Q and was going scores like 20/1 in Diamond 1 games, playing mainly Riven. Players like BoxBox and Scarra would watch him and be amazed at how good he was on the champion. This player was known to be Korean because of their "Barcode" name, and was eventually discovered to be Faker. To practice for Worlds he decided to come to North America to practice his Riven. He single handedly popularised Riven with how good he was at the champion. Showing how good she could be when mastered. He destroyed Worlds using Riven as a counterpick to a popular champion at the time, Zed.
In Season 4 Riven was insanely popular, and so Riot had to repeatedly nerf her in Season 4 and Season 5 when players put so much time in her that they could use her kit absurdly well. A lot of Mid Laners started picking her up and playing her as she was the best Mid Laner in this time. However, it was interesting that it was still shown that the players who were not as good as Riven couldn't dominate even with her previously over buffed kit. Without practice she was not a very good champion. Riven was still strong however, so Valor's shield duration was nerfed from 2.5 seconds to 1.5 seconds as well as some damage and cool down nerfs. Everyone was playing her as a counterpick to Zed and Gragas, but Gragas got completely nerfed and could not play in the mid lane, so Riven was no longer needed.

However, Riven had developed a community of 'RivenMains' who continued to play her and improve. The Shy, Lord Master King, BoxBox, Viper, and Best Riven NA, played Riven at peak performance in high ELO, showing everyone that she was still a very strong champion, spiking her Win Rate and Ban Rate, especially since they now feared good enemy Riven's and the bad Riven players they got on their own team. Riven saw very little competitive play in the beginning and start of Season 5 because she wasn't great for the top lane meta where tanks and mages were the best choices, such as Maokai or Ryze. As well as Smite top laners because of how good Enchantment: Cinderhulk was, players like Huni were playing Hecarim and Lee Sin top lane.

At the end of Season 5, Riven received no direct buffs, however during and before the World Championships she became a favourable pick for the top lane, because of two reasons, the first being "Double Jungling", where back in Season 5, if you were to kill jungle camps you would share the EXP with nearby allies, they would also get the gold to buy a few Health Potions which provides the better sustain Riven needed, and she could Teleport back to top lane, you wouldn't be able to punish her for taking Doran's Blade and having just one Health Potion so she could play more aggressively. Another reason, is a lot of fighter style champions have received reworks, such as Fiora and Gangplank, and a juggernaut rework. Season 5 Worlds was known as Riot's biggest "mess up" in history, because of the massive juggernaut rework right before the World Championship and so players didn't know what to play. Riven however was a reliable pick, as she countered Gangplank and Fiora pretty well. These two champions after their reworks were seen as the best two in the game, but Riven went 50/50 with Fiora in a skill matchup, and she absolutely crushed Gangplank level six. Faker picked Riven mid lane into Cassiopeia and slaughtered her, but the only reason he picked Riven mid was because he thought that Gangplank was their mid laner, as he was so strong he could even be played mid lane. So Riven was a good pick, and Huni got his famous "Quaaadra Kill."

At the end of Season 5, Riven's popularity was similar to Season 3 and she was played a lot more in Solo Q because of her competitive success. Riot, however, nerfed her because her ability to snowball was too strong, and so the cooldown on Blade of the Exile was increased, because a lot of players were rushing Ionian Boots of Lucidity with her massive snowball and her ultimate being constantly up, she felt unstoppable. In Patch 5.22, as pre Season 6 started to come up, Riot removed Riven's core item that she had bought for years, "The Brutalizer", this also changed what built into Youmuu's Ghostblade and Black Cleaver, core items of hers. "The Brutalizer" was split up into two items, Serrated Dirk and Caulfield's Warhammer. Riven was much more reliant on The Brutalizer's Cooldown Reduction than champions like Pantheon, Zed and Talon- so this was a massive nerf to her, you notice this as Zed, Pantheon and Talon can all rush Serrated Dirk for the extra lethality, while Riven has to take Caulfield's Warhammer for the extra Cooldown Reduction. Noone knew what to take for Riven in terms of the item changes and new masteries, so Riven mains started to create guides on this as she really wasn't that good anymore.

Riven's win rate dropped severely, and even with Fervor of Battle and Thunderlord's Decree she was still underwhelming, how much this item removal hurt her was noticed, especially how lacking her early game power was compared to what it was previously. Riven was an early game lane bully, but now her scaling had changed, she is now known as a late game scaling champion, a four to five item power house. Champions that countered Riven such as Poppy and Trundle were also extremely meta in the top lane, so she needed a buff in the Season 6 tank meta. Wind Slash and Runic Blade were slightly buffed, but they still weren't strong enough. Courage of the Colossus seemed like a great tank keystone as it allowed you to trade and building Riven off- tank was much more efficient in that meta. At the end of Season 6, many tanks were nerfed, as well as Courage of the Colossus, Grasp of the Undying, Iceborn Gauntlet, Sunfire Aegis, Ninja Tabi and Randuin's Omen. Given Riven an amazing indirect buff. In Season 7 masteries and Fervor of Battle became much more impactful. Players like Adrian Riven was now known as one of the best Riven players, as well as Viper and Revenge hitting rank one on the North America ladder. The thing that helped Riven the most in Season 7, however, was the introduction of the Practice Tool.

The Practice Tool, out of all the champions- was most important to Riven, as players could practice and perfect their combos and wallhops without having to wait for Cooldowns, spiking her popularity. The Riven community got significantly better at the champion. Season 8 then introduced the new Runes Reforged, and Riven was very adaptable for all the new runes. Riven's only real competitive play in Season 8 was when she was picked by Khan in the LCK. When Unsealed Spellbook was Overpowered, Riven synergised very well with it, being able to have her Ignite on a fairly low Cooldown, she could spam it in lane to kill people. Khan picked her as an effective counter to Gangplank and ended the game with a Pentakill. Riven is still, however, struggling in this meta, she's just not as effective as other meta fighters such as reworked Irelia, but she has recently been given a buff to Blade of the Exile and "Recent News" looks hopeful for the new runes and items in Season 9.

Pros and cons of the champion:

• Multiple mobility spells
• High damage with just two offense items
• Her damage is consistently available: not limited by mana and cooldown on Broken Wings is low. This means you can kill two or three champions in succession (see video!)
• She is the least limited champion
• Infinitely High Skill Cap
• Great waveclear with AreaOfEffect spells
• High roam and gank success rate
• She is capable to outplay her opponent in almost any situation, making her a formidable duelist
• She snowballs extremely well and is hard to take down when she's ahead
  
• Is incredibly weak to Crowd Control
  
• Fairly vulnerable to ganks
  
• Easily bursted down and very squishy
  
• Is very reliant on her spells, when they go on Cooldown she will be incredibly vulnerable

People think Riven is an "easy" champion to play, and so a lot of people play her casually but don't take the trouble to master her, most however respect that she has a high skill cap, so they understand that taking her to ranked normally means you have to be extremely committed. Riven is an extremely rewarding champion for you to master, as you can better yourself and improve with her every game. Riven is falling in win rate right now because she's not too good in this meta, and so the only people who play her are low elo, there are, however a lot of comitted Riven players with active Youtube channels, and the Rivenmains subreddit is a massive community (The largest League of Legends subreddit there is!) they are massively helpful and a lot of them post any new combos, mechanics, ex and their best moments in game, where you can really see how much time they have spent playing her. I also main Warwick in the jungle, and he is a very simple and easy champion for beginners, so you can see results immediately, but there isn't that big of a difference between a low ELO and high ELO Warwick mechanics wise, as there isn't a lot of new things to learn about the champion itself.

Overall Riven's role is to:

• out-farm the enemy top laner, and take enemy jungle camps, playing it safe early game
• maintain strong objective control and map presence, she can take Dragons, Baron, Rift Herald, turrets and inhibitors while escaping if the enemy team show themselves, or taking on multiple enemies at once
• initiate team fights, using Ki Burst and her third Broken Wings with AreaOfEffect damage to give your team opportunities to fight them, as well as saving your carries by bursting down assassins
• split push, and in general totally intimidate the enemy team by out scaling them and being equal to a hyper carry

Riven is such a powerful 1v1 fighter that she forces the enemy to group up if they want to deal with her. Use that to your team's advantage.

Riven is not a good initiator (unless you have a well co-ordinated pro team, but let's face it, you don't). She has very high mobility and AoE Crowd Control but she is extremely squishy because she has no damage reduction abilities and low sustain, her shield is easily destroyed although the build is designed to help you with this.) If you initiate against grouped enemies without a co-ordinated team, you will die quickly and waste Riven's massive damage potential. Riven can do consistent AoE damage, so it's best for her to counter-initiate: that means going in after the enemies already blew their Cooldowns. Or with a co-ordinated team, you all go in together and the opponents have a choice: focus Riven while taking damage from your mid and ADC, or focus those other damage dealers while Riven's AoE shreds the whole team.

Riven can win anything, any duel, she can get a Quadra from a four man dive and 1v5 the enemy team, but the reason she's not Overpowered is because every play you make requires skill, none of her spells are point and click, there are endless mechanics to her and you need to try your best to master every one, champions can easily kill you with no skill involved, so in return you get the ability to destroy the enemy team - but if you have the skill to do so. She can carry a losing team, if her laners all lose lanes then the game is likely a wait to late game, you have to focus on snowballing your own and creating such a threat top lane that the other laners/jungler has to attempt to shut you down. But part of the mechanics Riot are seeing is because most players play Riven professionally right now, because of how hard she is to play if your main top laner was banned - and casual players are going to see low results. As noted already, in the hands of an experienced Riven player, who also has the sense to pick Riven with a team composition to match her strengths, she has a good win rate.

A massive part of Riven is that she's a flashy champion who makes amazing outplays. She is amazing in teamfights and you can achieve Pentakills if you are skilled enough. She may not have roamed a lot, or taken a lot of objectives. But what she does do, is obliterate the enemy team, because she's consistently one of the best champions for taking team fights are skirmishes. With Conqueror, she can reliably kill enemy champions, and she's a force to be reckoned with in any team.

Here are my results using similar builds in previous seasons. I've achieved five Pentakills with Riven, but you can find a lot of examples on Youtube: it's certainly possible near the end of the game if you've had a good game. (Theoretically, you could kill a whole enemy team at once with one of your AoE abilities, but they'd all need to be on low health first from your allies.)

I often add to this guide or update it with small tweaks (for example rune changes), so you might want to check for updates from time to time. It's a long guide with a lot to read: I suggest you look at the parts you find interesting, try it out in a game, and come back to read the rest if you want a deeper understanding of the champion.

The runes I recommend on Riven are like this.

Primary: Precision. Conqueror - Triumph - Legend: Bloodline (or other Legends depending on game) - Coup de Grace

Secondary: Resolve. Chrysalis - Bone Plating

These runes give Riven unexpected early sustain so you can do some effective trading at levels 3, 4 and 5 even with no items, which was one of Riven's weaknesses before. If you can make this work, you can start an early snowball: a Riven who gets ahead is hard to beat. The sustain strength comes from slightly higher health thanks to Chrysalis plus after you begin a trade with the enemy champion they do 15-40 less damage for their next three attacks including spells for Bone Plating's active; bonus burst damage from Riven's full combo thanks to Conqueror; and a damage steroid from Coup de Grace when Riven's spells are on Cooldown because she has used them to burst the enemy down, which she usually will be when teamfighting (she can get very low on health though, if she makes mistakes early).

Patch 8.6 introduced Riven's recommended keystone Conqueror to give melee fighters who specialise in extended trades more raw damage, and a slight true damage conversion. The overall effect was: longer trades, more damage, more Attack Damage, more damage dealt. It's the best keystone on Riven because of this reason, her powerspike's revolve completely on her items, which increase Attack Damage, drawing out fights, although she is quite burst it's a tank/fighter meta, Riven is outmatched by other skirmishers, fighters, and tanks in their defensive stats, and when she uses her spells she will need to draw out a fight for them to come back up, so Conqueror will help her deal the most damage she can as a substitute for her Cooldowns. It's still good to trade when you can even if you can't proc Conqueror, but otherwise rush to farm faster: every gold increase, giving her the items she needs adds to Riven stats in so many ways.

Runes Reforged in more detail

Riven scales best with Attack Damage, and she has defences naturally and as she levels up. That's why I recommend Precision for Riven primary path, for +9% attack speed with Conqueror's damage steriod.

In the Domination tree, you might think Electrocute is good, giving high burst damage towards one champion, (the rune starts working 3 seconds after first damaging a champion 3 times, and Riven can do this damage with Broken Wings, Ki Burst or Runic Blade). Yes, it is good in certain situations, for example where the enemy team has many squishies. But Conqueror is usually a better keystone, giving more consistent damage and the ability to win extended fights - Riven needs Attack Damage for dueling and splitpushing, but Attack Speed when teamfighting and using her combos - and Riven can extend the fight easily using her auto-attack resets and mobility from Broken Wings and Valor. As already mentioned, this rune is a strong help when trading, even early trades before you have items, because it also does percentage true damage which helps massively with tanks early game. Triumph is taken by almost every champion in the game, it gives a decent amount of healing every time you have a kill or an assist, which is so helpful when towerdiving/being towerdived (it happens a lot, people underestimate Riven's Crowd Control and mobility and towerdive you with the jungler flanking) and works especially well on a high-sustain bruiser (style) champion like Riven. With Legend: Bloodline you will gain Lifesteal as the game goes on which is a great free statistic for Riven - she can easily buy everything else, but Lifesteal is hard to buy - and in a game where you need high Lifesteal, to help you proc your Conqueror and repel kiters, it makes Death's Dance twice as effective.(But in a game where the enemy team has Crowd Control and is pretty squishy, like a Ryze top lane opponent, Legend: Tenacity helps you avoid unfavourable trades so you can farm faster, Legend: Alacrity helps your Attack Speed, and it's a reliable subsitute for Legend: Bloodline, it depends on personal preference but I find it doesn't synergise as well as in extended trades with Conqueror your spells will go on Cooldown, this is where you can stay alive until they come up with Legend: Bloodline but you can't deal a lot of damage without your auto attack resets and Runic Blade passive, making your higher Attack Speed much weaker.) Coup de Grace gives a noticeable damage boost when enemies are on less than 60% health,- this is great for Riven as she generally stays in fights to extend them so she is able to burst the enemies down, when her spells are on Cooldown you get a little boost and apply Legend: Bloodline as well as lifesteal from items such as Death's Dance to finish them of and clean up with tower dives more reliably/quickly, due to its ability to continue dealing out sustained damage after opponents have already used everything they have.

Conqueror and Coup de Grace work really well together, giving a combined damage bonus of over 20% on your damage in the middle and end of a fight. This works great for Riven who is a sustained damage dealer - and all these % damage buffs also enhance her on-hit damage. They make her Wind Slash long-distance nuke at the end of a fight very dangerous indeed. Riven is known as a strong duellist, and the combination of these runes ensures she should win just about any 1 v 1 fight (not Darius in the early game).
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There are various options for your secondary path. Best is the Resolve tree (it changes with every patch, so keep check!) Chrysalis is OK on Riven as it gives around +60 and a small amount of bonus AD which increases to +9 with takedowns, due to the amazing scaling from all of your spells - that's like a free Doran's Blade late game, so this rune has a gold value of around 400. The Chrysalis rune becomes slightly stronger with a high Health build ( Black Cleaver, Sterak's Gage, Titanic Hydra, Dead Man's Plate, Randuin's Omen/ Adaptive Helm etc) as noone really expects Riven to build Health (although, it's still best to build balanced Defence/Offence items for her right now instead of getting one shot or failing to burst a tank), once again- Riven is the best champion to outplay people with, you can kill anyone, but it requires a lot of skill most of the time, Health helps you proc your runes and make the most of your lifesteal with extended trades. For your other rune on this path, Revitalize sounds so good right now on Riven, and some sustain when you are disengaging from a fight is always good, combine this with Death's Dance, Red Buff and Mercurial Scimitar and you can eat out a surprising amount of damage over time from an enemy who thought he had killed you. But unfortunately Revitalize is weak early when you want it to count, and so actually I do not recommend it. Instead I take Bone Plating for a better tool to extend fights (which you want to happen a lot, as Riven) and also, an amazing anti-poke tool. Other options: Nullifying Orb is good for a small amount of free protection against magic damage, this opens up your boots choices, so that you can have Ninja Tabi most games, and it also pairs well with Maw of Malmortius because it holds you alive for longer on 30% health. The other option is Gathering Storm for +5 AD at 10 minutes, +15 AD at 20 minutes, and much more at 30 minutes+: Riven's spells scale with Attack Damage so it's not bad: fun at lower elo where games can last a longer time. But in higher elos, most games don't go beyond 30 minutes meaning this rune never becomes very impactful, it's a rune which is basically insignificant before 20 minutes. In a competitive game it's not a good pick, you want to have advantages from your runes before 20 minutes otherwise the enemy team will already be ahead, the standard Sorcery secondary would be Transcendence > Gathering Storm, Nullifying Orb is only for Ability Power matchups, in which case if they have an early comp take Transcendence next, and if they have a late comp take Gathering Storm. Nimbus Cloak is only viable with Phase Rush, against Attack Damage such as Darius although I still don't recommend that rune path at the moment, in all matchups.

Domination is the next most popular choice for your secondary path, it's best against squishies or when you have an easy matchup where you can snowball the lead as it gives you your stats for killing enemy champions, you should only be taking Sudden Impact > Ultimate Hunter in this secondary, Sudden Impact because it makes use out of your large amount of Crowd Control, and Ultimate Hunter because the hunter runes are all fairly weak, however Riven shines in late game and builds a lot of Cooldown reduction, her dueling power coming from her scaling Attack Damage ultimate, Ultimate Hunter of course- reduces your Cooldowns over the cap, which opens up a lot of opportunities for Riven as lets her take fights more often, extending your lead. Zombie Ward, Eyeball Collection and Ingenious Hunter are all viable- but only for the jungle.
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Inspiration is the least popular secondary path for Riven, but it's definitely underrated the utility is seriously helpful and you have four choices you can take from this page; Hextech Flashtraption, Perfect Timing, Future's Market, and Cosmic Insight. Perfect Timing and Cosmic Insight are the obvious ones, Cosmic Insight gives great Cooldown Reduction (even on your Flash, which is insanely helpful,) and Perfect Timing synergise's this, giving you a free Stopwatch in the mid game, which is when your opponent will probably try to dive you, (taking they're a tanky-bruiser like Garen) you can make some amazing outplays with Stopwatch and it also builds into Guardian Angel which Cosmic Insight provides Cooldown Reduction for! Future's Market is actually a good choice for jungle Riven and Kleptomancy Riven, and Hextech Flashtraption introduces a new mechanic which allows you to cancel your animations effectively, and helps with roaming, surprising your opponent, ex. However it is hard to learn and you should check the Mechanics chapter before attempting taking this rune.

This Bloodrazor build is strong all game: more than half of games will not reach six full items.

• Start Hunter's Machete + Refillable Potion
• Route: Red Buff (with leash) - Wolves* - Gromp - Blue Buff* and then take a Rift Scuttler and gank a lane or invade if you have enough health
• Back to buy two Daggers, also buy a Hunter's Talisman if possible as that will strengthen your W and provide more sustain. Always buy a Control Ward if you have enough gold
• Since Patch 8.8 you can buy an Oracle Lens early, this is very good for an invading jungler like Shyvana, and think of all the +30 gold from ward clearing
• Clear two more camps: Raptors - Krugs and any Rift Scuttlers which are alive
• Now is a good time to counter-jungle or possibly to gank - none of your camps is up, you have level 4, the enemy bot lane and jungler are probably still level 3. You can also take Dragon any time you see the enemy jungler on the top side of the map.
• Continue taking camps efficiently, to reach levels 5 and 6
• Back for Recurve Bow - if you have gold also upgrade your jungle item to Stalker's Blade
• You could buy a Long Sword here: Recurve Bow + Long Sword + Refillable Potion is a good item set at level 5 for ganking or taking Dragon
• Rush to complete Enchantment: Bloodrazor for a power spike in damage and clear speed
• Also look to build Tier 2 boots - normally Ninja Tabi
• It's best to complete Titanic Hydra next, unless you are behind and need defence early (delaying Titanic Hydra gives you a weaker mid game)
• Add a Cloth Armor or Null-Magic Mantle as needed depending on opponents

You are looking to have Stalker's Blade - Bloodrazor + Titanic Hydra + tier 2 boots by around 18 minutes as Shyvana's basic item set, and then you should be looking at making a start on your defensive items.

In the 'Lower Cost Build', start with Titanic Hydra first, the jungle item (taken second in this case) is Cinderhulk followed by an armor item, Wit's End against magic damage and finished with Blade of the Ruined King to keep your damage relevant in the late game, also good for Baron and the Elder Dragon. If your game goes well you can reach this full build by around 35 minutes. Switch boots to Ninja Tabi once the laning phase is over, those are normally the best late game boots.

Also look at adapting your build to the game.

I like to build a good amount of damage on Shyvana. With the builds here, it's possible to do that and also have strong defences. The Season 7 re-work and the Season 8 runes have made damage builds even stronger.

People think Shyvana is a "tank", but she's really not. She is tanky which makes her a very robust fighter, but she has no special tank abilities and so she cannot absorb much damage for her carries without dying herself (and we don't want that!) Her kit is all damage focused.

Similar to Garen, the best way to play Shyvana is as a hyper bruiser, robustly dealing out damage that the enemy team are forced to group up if they want to stop her. So you can establish dominance and control the game. Shyvana can either anchor her team in 5 v 5 fights, or else split push and divide the enemy team: Shyvana with a damage build can take objectives extremely quickly if not stopped, and it usually takes two or three champions to stop her.

The builds I recommend can be seen at the top of this guide. A good build involves:

• Start and early game: attack speed
• Mid game: on-hit damage, starting to stack health and armor
• Late game: burst damage, solid defences
  
  Early attack speed helps your clears and first dragon, and pairs well with the on-hit damage mid game. Late game you need to be more bursty, because you may only have enough time to hit opponents once - some specialised late game builds are shown here.
  
  
  Riven's Needs

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  Why not more Armour Penetration?

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  Advantages of mid game Attack Damage

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  On-hit effects
  
  Shyvana's kit has 7 on-hit effects or synergies.
  
  • Her Q applies on-hit effects a second time, as well as being an auto-attack timer reset - this means that an AA+Q combo applies on-hit effects three times (in around 0.3-0.4 seconds realistically, due to the time for the attack animation)
  • Her W grants an on-hit bonus to every auto-attack while it is proccing
  • Her E grants an on-hit bonus to every auto-attack against all opponents hit by the flame
  • Every hit reduces her Q cooldown
  • Every hit extends the duration of her W
  • Every hit grants Fury, so either it reduces the cooldown of her ultimate, or it extends its duration
  • In dragon form, her Q applies on-hit effects to all targets in the area of effect.
  
  One of the core items I suggest, Wit's End:
  
  • adds magic damage as an on-hit effect
  • each hit shreds the opponent's MR and at the same time gives +6 MR to Shyvana
  
  Her other core items, Enchantment: Bloodrazor, Titanic Hydra and Blade of the Ruined King add physical damage as an on-hit effect:
  
  • BotRK applies percentage current health damage as an on-hit effect
  • Titanic Hydra applies a percentage of your max health as an on-hit effect
  
  Both of these are supplemented by the on-hit physical damage on targets marked by Flame Breath which is % maximum health damage.
  
  That's a total of eleven on-hit effects or synergies with the core items. Wow!
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  The power of lifesteal

  Lifesteal works well with a full build Shyvana: she deals high damage with basic attacks and BotRK, and her high armor and MR means each point of hp recovered using lifesteal is worth more than it would be on a low armor, low MR champion.
  
  Her core items give 10% lifesteal against jungle camps, and additional 10% once you complete the BotRK item. That's enough to sustain you indefinitely in the jungle, later in the game you in fact heal strongly from taking jungle camps. But additional lifesteal can be strong on Shyvana against champions, it makes her OP in the situations where she shines the strongest, which is solo skirmishes against two or three opponents.

  A full damage build is sometimes viable if you build The Bloodthirster or alternatively, Mercurial Scimitar or Hextech Gunblade or Death's Dance. As long as you continously attack, you can be healing from the damage you deal. Is that good? Yes of course: let's say you are in a team fight, if you can survive the fight for 2 seconds you have 500hp more from the lifesteal than if you did not have The Bloodthirster. The Bloodthirster also gives a 350hp shield before you go into a fight, if you attacked minions or monsters first (Shyvana almost certainly attacked minions or jungle monsters before going into a fight). So that's a total of +850hp protection from this item in a fight which lasts 2 seconds: that's more than a Warmog's Armor. Having high lifesteal gives you smart defence, meaning you have extra defence in a more challenging fight: the longer the fight lasts, the more it heals you. The Bloodthirster does this without increasing your max health, so (with its shield as well) it's an especially good pick against champions who do % max health damage - including any champion with Enchantment: Bloodrazor. If going the lifesteal route, you need to go for it 100% to make it properly effective: so you must build high damage and high attack speed with it (and Phantom Dancer or Trinity Force is also recommended in place of boots, and if you built crit then eventually Infinity Edge in place of your jungle item late game). And you have to change your playstyle: attack harder, and 'believe'! The Bloodthirster is a smart item against enemies who do %max health damage, especially Vayne who does %health true damage. Other examples include: Vi, Warwick, Trundle, Mordekaiser, Maokai, Jayce, Nasus, Fiora, Gnar, Kog'Maw, Garen (if you're his villain, which you probably are), Amumu and probably a few others I didn't think of, as well as anyone with Enchantment: Bloodrazor. The reason is it does not increase your maximum health, but it provides an equivalent defence. For the same reasons it works extremely well against % missing health damage, like Elise. But it has no special advantage against % current health damage including the passive on BotRK, and Xin Zhao and Jarvan IV, and Kindred's main ability: that's not such a problem as you should be building armor, not lifesteal, to counter these. These features definitely make The Bloodthirster a viable alternative to building traditional defence items on Shyvana - especially considering the damage buff it gives. The only disadvantage is cost, so you probably need to be carrying hard to build this: and it's best built as a 6th item when your resistances are high. Of course like any other generalisation in this guide this doesn't cover all situations: lifesteal can't help you survive a 100-0 burst from a mage assassin, if that's the main threat then you will need to build differently. (Although even in this case an all damage + lifesteal build could work if you take Maw of Malmortius.) And of course you can't initiate 1 v 5 and expect to survive that from lifesteal: with this build you need to be split-pushing, not team fighting. (Some people think you should combine Spirit Visage and The Bloodthirster for a more defensive build and a 20% buff to your lifesteal. That misses the point: something like Stormrazor or Infinity Edge buffs your lifesteal by 55% because your basic attacks do more damage to heal from. Damage also kills opponents faster so you can kill them before they have time to get off much damage on you. Like a tankier version of Master Yi.)

  
  
  
  Not recommended Trinity Force - Stormrazor

  You should not normally buy Sunfire Cape on Shyvana in the jungle. The other big armor + health defensive items ( Randuin's Omen, Dead Man's Plate, Thornmail) are just as good or better in terms of overall defence, and the AoE damage is no help at all against ADCs and other ranged opponents who can hurt Shyvana from outside the range of this item. A jungle Shyvana will not be spending much time in range of any enemy champions to apply the area of effect damage, and anyhow it is a small amount of damage per second. Your W does twice as much damage already, and if you actually, you know, attack the enemies you should be doing 500-1000 damage per second. Sunfire Cape is great on a full-tank champion whose job is basically to stand in the enemies' faces for 10 seconds while the rest of the team does their thing. It's OK on a top lane Shyvana because it helps trading. But in the jungle, Shyvana's role is not that at all, staying close to grouped opponents would be a quick death for her: her role is to get in, kill, and survive long enough to get out again: so she should be spending hardly any time in Sunfire range of her enemies. Also the passive on Sunfire does not stack with Cinderhulk. The only niche situation where I would take this is if the only fed person on the enemy team is a melee bruiser like Vi or Jax or Irelia who built squishy with no MR: in that niche situation, maybe this will help you win a 1 v 1 duel. TL;DR: Sunfire Cape is a noob trap item on Shyvana in the jungle. (Like I say, it's good on top laners.)

  Sterak's Gage is said to be a good item because it pops up a shield in a situation where you would otherwise risk dying. Personally, having tried this item in many games, I dislike it on Shyvana for four reasons. - First, the shield does not last long (the shield is a decaying shield). - Second, in a situation where you are focused hard enough to trigger this, you will likely die anyhow, due to being outnumbered, CC'd and from overkill. - Third, the increased size makes you a larger target and makes it much harder to dodge skillshots, and Shyvana is not a full tank champion able to soak up all that damage - Fourth, it is outside your control and extremely unpredictable when the shield will trigger: it only triggers in a situation when you have already received a lot of damage so that you are on low health. As written above for Edge of Night, an important benefit of a shield is the deterrent effect: so opponents will generally not focus a champion who is full health and shielded as they see it as a waste of their damage and abilities. This means you want to have a shield at the start of a fight (for example, The Bloodthirster) not at the end of a fight like Sterak's Gage. A lot of people build Sterak's Gage on Shyvana because it's defensive and damaging. I disagree. If you want health + damage, take Frozen Mallet, it gives more health and an extremely useful slow. If you want damage + health, take Titanic Hydra, it gives way more damage. If you want an automatic shield for when you get low, take Maw of Malmortius. Sterak's Gage is good on champions who have two things: high burst so that they can kill an opponent in the short time while the shield is up, and good damage scaling from AD. Neither of these things applies to Shyvana unless she's following a full damage build with crit chance. AD helps her of course, but her build does not depend on it: Shyvana is more of a sustained damage champion and the largest part of her damage comes from on-hit effects. Note: unless the rage has popped, Sterak's Gage increase to your attack damage is of limited benefit to Shyvana, in practice only around an 8% boost to total damage dealt, so we do not take this item for damage reasons: it's one of the weakest damage items on her. Generally, if you think you should take Sterak's Gage, you could build so much better with items like Titanic Hydra, Frozen Mallet, Edge of Night or Trinity Force. If you've read all the above and you still want to take this item, it should be your 6th item: that's because this item's benefits are better when your base AD is high and your bonus health is high, and it also works better with your level 3 R in dragon form. I guess the item could work OK in an all-health build so Cinderhulk + Frozen Mallet + Titanic Hydra + Dead Man's Plate + Spirit Visage + Sterak's Gage, and you'd better hope you took all the dragons. But personally I would get Locket of the Iron Solari in that situation so that I can share out the benefits of my ridiculously high health with the whole team, or else Gargoyle Stoneplate if I'm the only tanky champion. There's one specific situation where Sterak's Gage is good: if you keep getting bursted down and killed by a very squishy champion, someone like Vel'Koz, you could kill him easily if you could engage and survive the burst, and your team has no other initiator apart from you. It still might be a suicide run for Shyvana to the enemy back line, but if killing that Vel'Koz means your team will win the team fight overall then you must do it. TL;DR: Any other "damage + health" item is better. Easy rule: just take Frozen Mallet or Titanic Hydra - or both of them - in any build when you are thinking of Sterak's.

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Movement speed is important on Shyvana. The key thing about movement speed is it's relative: you want to be able to go faster than the other guy, so whatever they have, you want something better. Both out-of-combat and in-combat movement speed are good, if Shyvana is chasing or coming in to gank she probably gets the out-of-combat movement speed. Flat movement speed is best, not % increases, because Shyvana's W gives a big % movement speed increase.

Shyvana uses a combination of factors to catch opponents: high base movement speed, a burst of speed from W, and the range of slows she has at her disposal. Burnout is great, but not enough by itself to catch all opponents. Against kiting opponents, Shyvana still needs something additional for speed, for example Phantom Dancer, Trinity Force or Youmuu's Ghostblade, or a heavy slow to apply to the opponent. You may need to chain slows. Blade of the Ruined King gives the best slow from an item active, because it's a 3 second slow and it speeds you up at the same time as slowing the enemy. Chilling Smite is similar. You can have both :) If you took Exhaust as a summoner's spell, it's best to wait to use that when you are already in melee range.

As we head into mid-season 8, from Patch 8.6 several ADCs and AD assassins received buffs, so armor up! Ninja Tabi are normally the best boots (even after their nerf in 8.7). But you should adapt boots choices to how the game is going, the enemy team composition and who is most fed. Later in the game I sometimes switch boots, it's only around a 280 gold cost to sell boots and buy different ones.
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Boots Choices

Boots of Swiftness are often the best boots to buy early game on Shyvana. This is due to the cheap 900 gold cost. There are four specific situations when Boots of Swiftness are a strong pick: If you are carrying your team and you need to do everything quickly - you're also probably 2 levels higher than opponents so defences are not too important. If the enemy has important skillshots, the extra manoeuverability from these plus W can help you dodge them - dodging a skillshot is better than tanking it, so these boots are actually defensive. If you need to keep up with a specific opponent who also has fast movement. If the enemy team has a lot of strong slows (Ashe, Jhin, Ekko, Teemo etc) More generally, a high movement speed build always works well on Shyvana as it allows you to run with enemies and apply your W damage for longer and get in more basic attacks. But Boots of Swiftness are only +10 movement speed ahead of other Tier 2 boots, it's generally not worth buying these if the enemy team has no slows. An important advantage of these boots is they cost less gold than other Tier 2 boots. The low cost means you can have a faster early game. With less gold spent on Tier 2 boots you can complete your first full item earlier, see this video for an example. Saving gold on a core item is a big advantage because it means not only do you complete that item sooner, it means you also complete every future item earlier as well. Earlier power spikes = more chance to snowball. The early game movement speed itself also helps you snowball fast, because you can get to places faster and do more. And don't forget that the Celerity rune gives you a small amount of extra AD from your movement speed. Later in the game you can sell these boots for something more defensive if necessary. Most of the full game builds in this guide do not show Boots of Swiftness, but I quite often take these boots first and change them later.

Buy Mercury's Treads for the tenacity, not the magic resist. These can work well mid game, combined with an armor defensive item like Dead Man's Plate or Randuin's Omen. You might need these for the tenacity if there are strong stuns, roots or silences on the enemy team, especially point-and-click abilities like Malzahar, Ryze, Irelia, Lulu, Fiddlesticks. Best paired with Legend: Tenacity: if you need the tenacity, you might as well have lots of it. About Tenacity Tenacity is helpful for Shyvana if the enemy team has stuns, roots, silences or other disables of long duration. It's also useful against slows, for example from Ekko or Jhin: see Match-ups section for more. But tenacity only reduces the duration of the disable, it does not save you from it completely. For complete protection you should instead look at Mercurial Scimitar or possibly Edge of Night or the Cleanse summoner's spell. You can also have tenacity from the Legend: Tenacity and Unflinching masteries and from the Elixir of Iron, and Boots of Swiftness give approximately the same protection against slows. Tenacity is no help against knock ups, hooks or grabs, but a well-timed ultimate can perhaps protect you against those.

Ninja Tabi are very strong against an ADC or generally against AD champions, they also help you to tower dive and survive which is highly useful in the mid game. As well as the armor, the 12% damage reduction on every enemy basic attack is an incredible benefit to have from boots. (Damage reduction stacks very well with other damage reductions, for example from Red Smite or from Phantom Dancer.) Even if you do not start with these boots, you will often need them late game: if the enemy team has a strong ADC these will probably be your go-to boots. Pretty much essential against a Vayne. Uncommon Boots Choices Ionian Boots of Lucidity have the same basic advantage as Boots of Swiftness, and that is they cost only 900 gold at a time when you need all of your gold to complete first and second items sooner. They are hardly slower than Boots of Swiftness (10 slower base movement speed, but with the cooldown reduction you will be able to use W more often for a speed boost, so let's say 5 slower overall). The hidden advantage of these is the cooldown reduction on your summoner's spells but that's fairly meh unless you have Flash. As with other 900 gold boots, if you take these boots first, you should plan to change them up for Ninja Tabi or Mercury's Treads later. If you really value that reduced cooldown on your summoner's spells, you can also take the Cosmic Insight rune. I've seen a few of the professional players taking these on Shyvana, sometimes. Basically the reason is for a cheap boost to your early farming, not so much for gold but for XP, so you can be 2 levels higher than everyone on the enemy team. It makes some sense in a build where you are not rushing another Attack Speed item. So if your first big item is Titanic Hydra or Frozen Mallet and looking towards Cinderhulk as your jungle item, these boots can be a good choice, because it basically means that you can buy a lot of attack speed without needing another big item. The astonishing 35% attack speed from these boots is like having 3 Daggers, that's more attack speed than a Recurve Bow, so they are very gold efficient. But if you plan to build an attack speed item as your first or second item (Bloodrazor, Phantom Dancer, Wit's End, BoTRK) then a better use for your gold is to buy other boots, so that the Daggers you buy will put you already on the way to completing that full item sooner - taking Berserker's Greaves is going to delay you having a completed item. If you are carrying and three levels higher than everyone else, and you have a Cinderhulk + Wit's End build and maxed W and you want to be a complete b**ch to your opponents, Sorcerer's Shoes will increase your area of effect damage from W and Cinderhulk by 10-15%, it also makes your E and R hit that much harder. Basically a troll pick when you have already won the game, but it could win you an S+. If you have Boots of Swiftness and something extra for movement speed, your movement speed numbers in game may not be as high as you expect. For example, if you have Boots of Swiftness and the Celerity rune you might expect to have out-of-combat movement speed of 417 (without W): that's 350 base movement plus 55 from the boots plus 12 from the rune. But your actual movement speed in game will be 416. That's not a bug, it's a feature of the game intended by Riot, called a soft cap. How the movement speed soft cap works Any movement speed bonus which takes your speed over 415 has a 20% reduced benefit. So what could have been 420 becomes 419. What could have been 440 becomes 435. etc. More severely, the soft cap means that anything which could take your speed over 490 has a 50% reduced benefit. For example, a Shyvana with Boots of Swiftness, Dead Man's Plate, the Celerity rune and a Cloud Drake buff has an out-of-combat movement speed of 477. Unadjusted, the speed would be 495 with full momentum stacks on Dead Man's Plate, but the soft cap reduces that to 477. This 50% reduction is very relevant for Shyvana, because her W takes her speed well above 490 when she has Tier 2 boots. Roughly speaking, this means that all the boots and movement speed items which you buy have reduced benefits whenever W is proccing. (In contrast, before level 6 and with no boots, W will not take your movement speed above 490.) You can think of it like this: Items giving % speed increases have half their stated benefit when W is proccing Items giving flat speed increases have 75% of their stated benefit when W is proccing. Even with this soft cap, it's always good to build speed on Shyvana, because you want to be able to go faster than enemy champions, and all movement speed gives some benefit (and the enemy champions are affected by the soft cap too). Flat movement speed is best, because it will be enhanced by W and other percentage increases - so Boots of Swiftness, Dead Man's Plate and Trinity Force are all strong items on her, also Wanderer and the Cloud Drake buffs. And when you already have high flat movement speed, % increases also become worthwhile (even though % increases will have less than their normal benefit when W is proccing). Because of the soft cap (and the fact that W will always take you over the soft cap), there are diminishing returns from building very high movement speed, anything above an in-game speed of 475 is semi wasted.

You must always adapt your build to the current game. Take into account factors like: how well you are doing, which opponents are strongest, what items are opponents building, how well are your allies doing, how much CC does your team have? It's also worth thinking about which Elemental Dragon buffs you have and therefore which items will benefit most from the extra buffs. For example, if you have two Cloud Drake buffs then Dead Man's Plate is not necessary. If you have two Fire Drake buffs then it's good to build high AD, for example Edge of Night.
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If you get fed early, then for your third item you have an interesting choice between tanking up so that you are unkillable, or building BotRK for devastating damage. I usually go the damage route - just levelling up already gives some tankiness for free. Defensive boots, for example Ninja Tabi, are often enough defence against enemy AD champions if they are behind, so that Spirit Visage can be your next defensive item (this also enhances your lifesteal from BotRK so that you can be on high health all the time). For example:
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The basic build I recommend involves taking Titanic Hydra as your second item, but you could instead take the excellent and low cost Wit's End first against an AP jungler - for example Elise, Amumu - or any AP opponent who is already getting fed or becoming dangerous, for example Katarina.
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Wit's End can also be used to create a low-cost - but still very effective - build if you get behind, for example bad luck in early invades or unsuccessful early ganks. If you are behind you need to build tankiness, not damage. The build below gives an inexpensive way to do that so you can reach the powerspikes of completed items even with less gold flowing in. Ohmwrecker is cheaper than other armor items but gives surprisingly good benefits (10% CDR, high health regen, movement speed bonus). Total gold cost: 11550.
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If following this lower cost build, after you have completed Bami's Cinder and Wit's End, you may have too little armor especially if you went for the cheap Boots of Swiftness boots option. You can build some armor before your jungle item is finished, mid-game your build could look like this:
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Against a full AD team, or a fed AD opponent, or a two ADC team (a ranged jungler), change your build order to complete Ninja Tabi earlier as soon as you have your Bloodrazor, and consider building full armor - maybe Thornmail if they are the specific squishy enemies who rely on auto-attacks. This build can be completed with another armor item for over 300 armor, maybe Ohmwrecker for the movement speed boost and CDR, or Zz'Rot Portal for combined defence, or Guardian Angel for some more AD.
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Here's another build which works well against a full AD team, good against ranged opponents like Lucian who want to kite you and very good against tanks and bruisers. Finish this with a Randuin's Omen against a full AD team, you should finish with 265 armor and 4200 health, that's 15000 effective health against physical damage.
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If you are carrying your whole team and stronger than any one single opponent, build Blade of the Ruined King earlier - even before any big defensive item - the lifesteal and high damage from it helps you to kill multiple opponents e.g. 1 v 2, and you will have the gold needed for this if you are carrying. Movement speed will also help you to bring all that pain to bear on the opponents, so take DMP instead of Randuin's. This could also be a game for a Trinity Force, again that helps if you are carrying because you can move faster. As the game continues, opponents will slowly become stronger and so you can build another defensive item 6th.
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If your carries are carrying your team properly - for example your mid and ADC are both doing well - then it can be better for Shyvana to build full tank and just defend and peel for them. Even though you won't have such a high KDA (in fact your KDA can be quite bad, because a tank sometimes acts as a damage sponge for the rest of the team, and dies in the process) your team will win as long as your carries stay alive. A build like this is very strong against any melee opponents who might try to engage your carries, and has enough out-of-combat movement speed to catch up to your team anywhere on the map: you can also tank a large amount of turret damage with a build like this.
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If you need high movement speed, take a Dead Man's Plate and Zeal in addition to your Boots of Swiftness - this can later be built out into a Phantom Dancer as your 6th item, similar to the Best Off-Tank Build but taking Phantom Dancer over BotRK. A build like this is strong against kiting ADCs like Ashe, Kalista, Vayne, Jinx - they try to kite you, but you catch up to them and 1-shot them:
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Generally Boots of Swiftness are best for the laning phase, as Shyvana needs to get around a lot and also chase down fleeing opponents. Late game when most fights are team fights, raw movement speed is not so important - there's not much point to having higher movement speed than the rest of your team - and W gives enough burst movement speed for repositioning in fights. That's why late game we usually switch to Ninja Tabi or Mercury's Treads for all the defensive benefits those boots give.
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Finally, here is a tanky build which - specifically - works well against Jax, Irelia, Camille and other melee opponents with a close-range stun:
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So you do a lot of passive and W damage to them if they engage with you, you are tanky enough to survive their burst, and the slow from Frozen Mallet means you can stay on top of them when you counter-engage.
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LONG GAME BUILDS:

In a long game (more than 40 minutes), opponents will be on full 6 item builds, and Shyvana will have excess gold, so Shyvana no longer has her (normal) advantage of having more gold than the opponents. So what can you do with that excess gold? Answer: (1) buy Elixirs + (2) replace your boots + (3) look at rebalancing other items. This is easy enough to do when you have extra gold: you don't have to stop thinking about items just because you already reached full build.

It makes sense to replace boots in a very long game, you will usually be losing only around 25 movement speed at most, depending on what item you take instead. Maximising movement speed is not so important in the end game as generally you want to stay with your team. The best boots replacements are normally Trinity Force or Phantom Dancer - both also make you a bit more tanky - or Youmuu's Ghostblade for raw speed. In a more defensive situation (or if you need to split push while 4 defend) look at Zz'Rot Portal, Ohmwrecker or Dead Man's Plate as a boots replacement, you can still have high movement speed in combat by activating W.

If you replaced your boots already, then you can also sell cheaper items such as Wit's End and buy something more costly. Generally late game you should be looking to out-damage the opponents with higher burst damage, so attack speed is less important late game than it is in the mid-game, instead single hit or single combo damage is more important. And although something like Wit's End is an excellent mid game item due to its on-hit damage and good gold efficiency, when you have gold to spare then you are more interested in slot efficiency - meaning highest damage per item slot. A 3000+ gold item is usually going to be better than a 2500 gold item, if you only have one item slot to spare. For damage and tankiness combined, Frozen Mallet is really good if you don't have it already, and Sterak's Gage can also be good after you are on full build. For pure damage you could look at a Stormrazor to out-class other bruisers and to one-shot squishy opponents. For damage and defence, Edge of Night is very good, or Mercurial Scimitar is excellent with its cleansing ability.

Exchanging Wit's End and your jungle item as a pair can be a good idea. For example if you built Cinderhulk + Wit's End early (for a cheaper build giving early and mid-game strength), you could exchange them as a pair for Skirmisher's Sabre - Bloodrazor + Spirit Visage after you reach full build. Bloodrazor is a strong late game item, and Spirit Visage is strong when you have completed BotRK for the lifesteal. You could also look at Frozen Mallet here or an armor item, if magic damage is not a problem.

Enchantment: Bloodrazor gives very high damage in the late game, so it's not normally a good idea to sell it. But to push your damage even higher, if you specifically have Phantom Dancer either as core build or boots replacement, you can take Infinity Edge in place of the jungle item, it's the only item which gives higher late game damage (but Infinity Edge works only if you already have 30% crit chance). It is possible to sell the jungle item without harming your jungling ability, its Tooth/Nail bonus damage against jungle monsters is nothing when you are at full build, and you still have the same 1000hp smite for Baron and Elder Dragon even with no jungle item (most people forget that!)

Don't forget to buy Elixirs as well!

Apart from all that, in a very long game (depending on your team) generally you want to tank up to something over 4000 health. It's because if you don't then full build opponents can kill you before you have enough time to do anything useful, and by now your ADC and mid should really be on full damage builds so they become your team's primary damage dealers. Even though I don't like to play Shyvana as a tank for most of the game, once your ADC is on full build + elixirs and playing properly then he really needs 2 team-mates as a tanky front line, and probably you are going to have to be one of those. You can look at this as Shyvana following a full damage build early to earn lots of gold and get a nice score, then surprise the enemy by switching to full tank for the end game. Titanic Hydra and Frozen Mallet are viable tank items of course, or you could even go literally full tank. If building full tank at level 18, Locket of the Iron Solari is surprisingly excellent because it shields your entire team using some of your tanky stats: the shield scales from your bonus health so a 700-800 hp shield is possible for all 4 of your allies - take that, Janna! (Seriously, it would be better for the Janna or Soraka or other ranged support to switch to a full AD build at this point in a 45+ minute game... nobody ever does that, but they should, because two ADCs is awesome.)
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Some other ideas:
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• A high damage late game build with high movement speed and good lifesteal, and also fairly tanky. This is stronger than your enemies' full builds, very strong against the enemy back line, and with an Elixir you can win a 1 v 2, the movement speed helps you dance around your opponents to win a 1 v 2 as long as they don't have CC. The Phantom Dancer with a full build does good damage thanks to the crit chance combined with your auto-attack resets: you are hitting often, and one third of those will be crit strikes. Here Phantom Dancer is taken instead of boots, and Trinity Force in place of the jungle item. Taking Trinity Force actually reduces your damage (compared with Bloodrazor) but it adds useful movement speed and health. You can easily solo Baron with this build, the crit strikes increase your lifesteal. This may be the only build that can let you solo your strongest opponents, for example a fed Xin Zhao who has Bloodrazor and Guinsoo's Rageblade.

• A very high damage late game build for highest possible damage without sacrificing all your defence. This build should be able to one-shot most opponents and may be the only build that can let you solo your strongest opponents, for example a fed Xin Zhao who has Guinsoo's Rageblade! If they have lifesteal they will outsustain you if you build tanky, so instead this is designed to kill in just one or two hits before they can lifesteal back up to full health: Shyvana with a full damage build can do a massive amount of damage with a single Q. Here Youmuu's Ghostblade has been taken in place of boots, you will have very high out of combat movement speed (thanks to Dead Man's Plate and Youmuu's), and Stormrazor gives you a movement speed burst in combat, if you need even more movement speed in combat you can activate Youmuu's.
  
  • A similar late game build for when you need to one-shot a melee opponent who built full damage with stupid amounts of lifesteal (a full damage Yasuo, Master Yi, etc) - here the Phantom Dancer gives you a bit more mobility to outplay them. As with the previous build, you have not much defence so an ADC can slaughter you, but if there is only one person carrying on the enemy team, this should let you engage and kill them before they kill you. The mini-slow from Dead Man's Plate can let you get a second attack in immediately after your first hits, even if they are running from you, so make those two attacks count - Q + Titanic Hydra active is your best combination, and blue smite is best as their lifesteal counters red smite. Again you don't take Guinsoo's Rageblade here because you are looking to one-shot them, not out-sustain them.
  
  • A tank killer build, if the enemy team has multiple tanks this will melt through them in seconds, you will have incredibly high DPS. By replacing your MR item you are giving up some magic defence, so you should take out the enemy mage first, but a level 18 Shyvana still has over 100 MR naturally (exact stat depends on how many drakes you took). This build has high health but only one fully defensive item slot so adapt it to the strongest threat to you, normally that's the ADC or being caught by crowd control under a turret, so we take Randuin's Omen or Dead Man's Plate: DMP is useful for crossing the map when you have no boots, but Randuin's Omen is stronger if the enemy ADC is on full build, and late game there's not much point in being able to move faster than your team. (Exceptionally, against Singed you might want to make that a Spirit Visage.)
  
  • A mainly defensive build for the late game. Essentially the only change from my standard Shyvana builds has been to swap the Bloodrazor enchantment for Cinderhulk, this will give you over 4000 health, and you still deal plenty of damage from the Titanic Hydra + BotRK pairing. Against a full AD team, take Thornmail instead of Spirit Visage. Ninja Tabi are usually the best late game boots choice for their important defence against a fed ADC, but to be even more tanky you could take Dead Man's Plate or Zz'Rot Portal or Ohmwrecker in place of boots, all give some movement speed benefit.
  
  • Another full tank late game build, you can easily switch a standard Shyvana build over to something like this in the late game. This one provides utility from the multiple slows, and close to 5000 health. Stacking health improves your Titanic Hydra damage which is the only damage you have going for you in this build. Note this build has no BotRK, that's fine as long as your allies have damage, you can still be very useful especially if your team lacks CC.
  
  • Finally an experimental build for maximum movement speed. This build has a high amount of single target burst damage for the late game, there is good attack damage and 60% crit chance and with 30% CDR (40% with blue buff) you can have W almost permanently. Instead of tanking damage, you activate W and speed away. You can be faster than Kennen when W is proccing: even after the soft cap your base movement speed is 530 in combat, 580 out of combat: and with W and Youmuu's active that increases to over 700! Defences are limited, this build lacks MR, but defence is less necessary when you can run so fast (and it's easier to dodge skillshots). This is an experimental build only, but it could be a lot of fun.

Take Smite plus one out of these six: Ignite Flash Exhaust Ghost Heal Teleport as you prefer. Seriously, Shyvana has this amount of choice. I generally take different spells in different games according to my allies and opponents, and how well I'm playing on the day. They are all good.

Ignite and Exhaust have 10% lower cooldowns than Flash, Ghost has a much lower cooldown. If you are new to this champion take Exhaust, it's the most help in your pre-level 6 - it makes your ganks more effective, and it lets you counter jungle safely.

Against skilled opponents, Ignite, Exhaust and Heal are interesting for their deterrent effect. So an enemy jungler who is smart will generally not want to risk a 1 v 1 against Shyvana knowing she has one of these up - meaning they are less likely to try to invade your jungle early. This means you can follow your optimal jungle paths in peace, and so gain gold and XP quickly, which is what Shyvana wants to do. In contrast if you have Flash that's actually tempting an opponent to 1 v 1 you early, because a smart enemy will see forcing your Flash as a good outcome. Clarity is obviously useless as Riven has no mana income.

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d Aatrox is now a spell reliant champion, just like you. All his spells are skill shots and avoiding them will win you the trade. Getting hit by the dark red parts of his spells knocks you up a long with it applying more damage, so you can use your second Broken Wings and Valor as evasion tools, position yourself well and dodge his spells sideways, not in a straight line so you are harder to predict and are less likely to be hit by the Sweet Spot of his spells, this works best against his first and second The Darkin Blade. You can trade Blade of the Exile for World Ender but its better to wait it out as it doesn't last long in the early levels.